Greatest Common Factor of 47/401, 826/215, 187/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 47/401, 826/215, 187/408

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 47/401,826/215,187/408

Given fractions are 47/401,826/215,187/408

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 47,826,187

Greatest Common Factor of Numerators i.e. GCF of 47,826,187 is 1 .

LCM of Denominators means LCM of 401,215,408 as per the given fractions.

LCM of 401,215,408 is 35175720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 47,826,187

GCF of Fractions 47/401,826/215,187/408 is 1/35175720

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 47,826,187 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,826,187 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Greatest Common Factor

We found the factors 47,826,187 . The biggest common factor number is the GCF number.
So the greatest common factor 47,826,187 is 1.

Lets's calculate LCM of 401,215,408

Given numbers has no common factors except 1. So, there LCM is their product i.e 35175720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35175720

Therefore, the GCF of Fractions 47/401,826/215,187/408 is 1/35175720

Least Common Multiple of 401,215,408 with GCF Formula

Least Common Multiple of 401,215,408 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 401,215,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(401,215,408) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(401,215,408) x common factors =1 x 1 = 1

LCM(401,215,408) = ( 401 × 215 × 408 ) / 1

LCM(401,215,408) = 35175720 / 1

LCM(401,215,408) = 35175720


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 47/401, 826/215, 187/408

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 47/401, 826/215, 187/408?

Answer: GCF of Numerators as per given numbers 47/401, 826/215, 187/408 is

GCF of Numerators i.e. for 47,826,187 is 1

LCM of denominators i.e. for 401,215,408 is 35175720.

Thus, GCF of Fractions is 1/35175720.Finally, GCF of Fractions for 47/401, 826/215, 187/408 is 1/35175720.